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Birkhäuser - Birkhäuser Mathematics - Scuola Normale Superiore | Standard spines and 3-manifolds

Standard spines and 3-manifolds

Petronio, Carlo



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ISBN 978-88-7642-256-0

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  • About this book

In general the starting point of the definition and existence theorem of an invariant is a presentation of the objects in the class under consideration, and a calculus for this presentation. More precisely one has a class of concrete objects, a rule to associate a 3-manifold to each object, and a set of moves such that if two objects define the same 3-manifold then they are obtained from each other by a finite number of these moves. In this work I provide a calculus for compact 3-manifolds with boundary based on standard spines, and discuss related questions; in particular, I introduce a general framework for the definition of invariants based on this calculus.

Content Level » Research

Keywords » calculus for compact 3-folds

Related subjects » Scuola Normale Superiore

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